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10214208 = 263323257
BaseRepresentation
bin100110111101…
…101101000000
3201012221021000
4212331231000
510103323313
61002532000
7152551014
oct46755500
921187230
1010214208
1158470a4
123507000
132168214
1414dc544
15d6b673
hex9bdb40

10214208 has 112 divisors (see below), whose sum is σ = 31455360. Its totient is φ = 3244032.

The previous prime is 10214179. The next prime is 10214209. The reversal of 10214208 is 80241201.

10214208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39616 + ... + 39872.

Almost surely, 210214208 is an apocalyptic number.

10214208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727680).

10214208 is an abundant number, since it is smaller than the sum of its proper divisors (21241152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10214208 is a wasteful number, since it uses less digits than its factorization.

10214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10214208 is about 3195.9674591585. The cubic root of 10214208 is about 216.9709376583.

Adding to 10214208 its reverse (80241201), we get a palindrome (90455409).

The spelling of 10214208 in words is "ten million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 257 276 288 368 414 432 514 552 576 621 736 771 828 864 1028 1104 1242 1472 1542 1656 1728 2056 2208 2313 2484 3084 3312 4112 4416 4626 4968 5911 6168 6624 6939 8224 9252 9936 11822 12336 13248 13878 16448 17733 18504 19872 23644 24672 27756 35466 37008 39744 47288 49344 53199 55512 70932 74016 94576 106398 111024 141864 148032 159597 189152 212796 222048 283728 319194 378304 425592 444096 567456 638388 851184 1134912 1276776 1702368 2553552 3404736 5107104 10214208